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Finding the Third Proportional to 171,605.25 and 262,515.75

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Solution

The third proportional to 171,605.25 and 262,515.75 is: 401,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,605.25 : 262,515.75 = 262,515.75 : x
  2. Step 2: Convert to fraction form
    171,605.25/262,515.75 = 262,515.75/x
  3. Step 3: Cross multiply
    171,605.25x = 262,515.75 × 262,515.75
  4. Step 4: Simplify right side
    171,605.25x = 68,914,518,998.06
  5. Step 5: Solve for x
    x = 68,914,518,998.06/171,605.25
  6. Step 6: Final answer
    x = 401,587.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.